On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I

Details On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I

2003-09-08

arxiv.org/abs/math/0309122v1

Mathematics

Algebraic Geometry

18 pages papper presented at loops'03 conference in prague

Scientific paper

We give the classification of 3-dimensional Bol algebras associated to the
trilinears operations $(e_2,e_3, e_2)=e_1, (e_2, e_3, e_3)=\pme_2$. It turn
that for such trilinears operation there exist up to isomorphism and isotopy
one family and one exceptional Bol algebras. We describe their corresponding
3-webs.

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